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Finding the Fourth Proportional to 288.45, 430.49 and 264.83

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Solution

The fourth proportional to 288.45, 430.49 and 264.83 is: 395.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.45 : 430.49 = 264.83 : x
  2. Step 2: Convert to fraction form
    288.45/430.49 = 264.83/x
  3. Step 3: Cross multiply
    288.45x = 430.49 × 264.83
  4. Step 4: Simplify right side
    288.45x = 114,005.18
  5. Step 5: Solve for x
    x = 114,005.18/288.45
  6. Step 6: Final answer
    x = 395.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.